Positive definite matrices play a central role in mathematics, physics, statistics and engineering due to their unique properties and widespread applicability. These matrices, which are characterised ...
Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal. Department of Mathematics, Faculty of Science and Technology, ...
Abstract: In this paper, we discuss the Hermitian positive definite solutions of the nonlinear matrix equation X + A* X-1 A = I. we give some necessary and sufficient conditions for the existence of a ...
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